GENERALIZED NEWTON METHOD IN CONTACT MECH ANICS

This paper is devoted to studying the global convergence of the Newton method generalized to systems of non differentiable equations issued from the contact mechanics. In the first part, some theoretical result s are presented for a typical obstacle problem. In the second part, th e behaviour of the Newton algorithm is analyzed by an heuristic approa ch, In this way, others non linearities, like friction or elastoplasti city, together with unilateral contact, can be taken up.